Question

If the equation of a circle is (x + 4)2 + (y - 612 = 25, its center point is

(4,6)
(4,6)
(4,-6)

Answer 1

Center point:
`(-4,6)`

Radius:
`r=5`

Explanation:

The equation of a circle is
`(x-h)^2+(y-k)^2=r^2` where
`(h,k)` is the center point of the circle and
`r` is the radius of the circle.

Given our equation
`(x+4)^2+(y-6)^2=25`, we can see that
`(h,k)` is
`(-4,6)` and since
`r^2=25`, our radius is
`r=\sqrt{r^(2) } =√(25) = 5`

Therefore, the center point is
`(-4,6)` and the radius is
`r=5`